Greatest Common Factor of 308/829, 7579/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/829, 7579/204

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 308/829,7579/204

Given fractions are 308/829,7579/204

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 308,7579

Greatest Common Factor of Numerators i.e. GCF of 308,7579 is 11 .

LCM of Denominators means LCM of 829,204 as per the given fractions.

LCM of 829,204 is 169116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,7579

GCF of Fractions 308/829,7579/204 is 11/169116

11 308, 7579
28, 689

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 308,7579 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,7579 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 7579

List of positive integer factors of 7579 that divides 7579 without a remainder.

1,11,13,53,143,583,689,7579

Greatest Common Factor

We found the factors 308,7579 . The biggest common factor number is the GCF number.
So the greatest common factor 308,7579 is 11.

Lets's calculate LCM of 829,204

Given numbers has no common factors except 1. So, there LCM is their product i.e 169116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/169116

Therefore, the GCF of Fractions 308/829,7579/204 is 11/169116

Least Common Multiple of 829,204 with GCF Formula

Least Common Multiple of 829,204 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 829,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,204) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(829,204) x common factors =1 x 1 = 1

LCM(829,204) = ( 829 × 204 ) / 1

LCM(829,204) = 169116 / 1

LCM(829,204) = 169116


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 308/829, 7579/204

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 308/829, 7579/204?

Answer: GCF of Numerators as per given numbers 308/829, 7579/204 is

GCF of Numerators i.e. for 308,7579 is 11

LCM of denominators i.e. for 829,204 is 169116.

Thus, GCF of Fractions is 11/169116.Finally, GCF of Fractions for 308/829, 7579/204 is 11/169116.